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11th Physics Monthly Test - 1 ( Heat and Thermodynamics )

MABS Institution

11th Physics Monthly Test - 1 ( Heat and Thermodynamics )-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

Cooking takes longest time ______

at the sea level
at Shimla
at mount Everest (if tried
in a submarine 100 m below the surface of water

Pressure exerted by a perfect gas is equal to _______.

mean kinetic energy per unit volume
half of mean kinetic energy per unit volume
one-third of mean kinetic energy per unit volume
two-thirds of mean kinetic energy per unit volume

In a given process on an ideal gas, dW = 0 and dQ < 0. Then for the gas________.

The temperature will decrease.
the volume will decrease
the pressure will remain constant
the temperature will increase.

In an adiabatic process, the state of a gas is changed from P₁, V₁, T₁, P₂, V₂,T₂Which of the following relations is correct?

\({ T }_{ 1 }{ V }_{ 1 }^{ \gamma -1 }={ T }_{ 2 }{ V }_{ 2 }^{ \gamma -1 }\)
\({ P }_{ 1 }{ V }_{ 1 }^{ \gamma -1 }={ P }_{ 2 }{ V }_{ 2 }^{ \gamma -1 }\)
\({ T }_{ 1 }{ P }_{ 1 }^{ \gamma -1 }={ T }_{ 2 }{ P }_{ 2 }^{ \gamma }\)
\({ T }_{ 1 }{ V }_{ 1 }^{ \gamma -1 }={ T }_{ 2 }{ V }_{ 2 }^{ \gamma }\)

A mono atomic gas is suddenly compressed to \(\left( \frac { 1 }{ 8 } \right) ^{ th }\) its initial volume adiabatically the ratio of its final pressure to the intial pressure is (Given: the ratio of +!le =peclfier heats of the given gas to be 5/3)

32
\(\frac { 40 }{ 3 } \)
\(\frac { 24 }{ 5 } \)
8

The pressure of a gas contained in a closed vessel is increased by 0.4% when heated by 1°C. The initial temperature was

250 K
250°C
25 K
25^oC

The difference between volume and pressure coefficients of an ideal gas is ___________

\(\frac{1}{273}\)
273
\(\frac{2}{273}\)
zero

Which of the following will make the volume of an ideal gas four times?

double the absolute temperature and double the pressure
Halve the absolute temperature and double the pressure.
Quarter the absolute temperature at constant pressure.
Quarter the pressure at constant temperature.

A hot cup of coff ee is kept on the table. Aft er some time it attains a thermal equilibrium with the surroundings. By considering the air molecules in the room as a thermodynamic system, which of the following is true

ΔU > 0, Q = 0
ΔU > 0, W < 0
ΔU > 0, Q > 0
ΔU = 0, Q > 0

Two vessels A and B contain the same ideal gas. The volume of B is twice that of A, the pressure in B is twice that in A and the temperature of B is twice that of A. The ratio of the number of gas molecules in A and B is

1 : 2
2:1
1: 4
4:1

Part - B

Generic 2 - Answer All Question

Define the coefficient of performance.

What are the different types of thermodynamic systems?

Define specific heat capacity and give its unit.

Define the term thermodynamics.

Define latent heat capacity. Give its unit.
Define one mole.

Give an equation state for an isochoric process.

Obtain an ideal gas law from Boyle’s and Charles’ law.

What is meant by Convection?

What is a principle of calorimetry?

Part - C

Generic 3 - Answer All Question

Applying first law of thermodynamics, write relation between P & T.

Write the important properties of thermal radiations.

A steam engine boiler is maintained at 250°C and water is converted into steam. This steam is used to do work and heat is ejected to the surrounding air at temperature 300K. Calculate the maximum efficiency it can have?

Calculate the heat required to convert 0.6 kg of ice at - 20°C, kept in a calorimeter to steam at 100°C atmospheric pressure, Given the specific heat capacity (L_ice) of lee= 2100 Jkg^-1K^-1.

Refrigerator is to maintain eatables kept inside at 9°C. If room temperature is 36°C. Calculate the co efficient of performance.

How does the density of a solid or a liquid vary with temperature? State that its variation with temperature is given by P' = P(1 -\(\alpha\)\(\triangle\)T), where y is coefficient of cubical expansion.

2 kg of ice at -20°C is mixed with 5 kg of water at 20°C in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container.
Derive the equation of state \({ Tv }^{ \gamma -1 }\) = constant.

A 0.5 mole of gas at temperature 300 K expands isothermally from an initial volume of 2 L to 6 L
(a) What is the work done by the gas?
(b) Estimate the heat added to the gas?
(c) What is the final pressure of the gas?
(The value of gas constant, R = 8.31 J mol^-1 K^-1)

How does the internal energy of a thermodynamic system change?

Part - D

Generic 5 - Answer All Question

One mole of an ideal gas initially kept in a cylinder at pressure 1 MPa and temperature 27°C is made to expand until its volume is doubled.
(a) How much work is done if the expansion is (i) adiabatic (ii) isobaric (iii) isothermal?
(b) Identify the processes in which change in internal energy is least and is maximum.
(c) Show each process on a PV diagram.
(d) Name the processes in which the heat transfer is maximum and minimum.
(Take \(\Upsilon =\frac { 5 }{ 3 } \) and R=8.3 J mol^-1 K^-1)

When a person breaths, his lungs can hold up to 5.5 Litre of air at body temperature 37°C and atmospheric pressure (1 atm =101 kPa). This Air contains 21% oxygen. Calculate the number of oxygen molecules in the lungs.

Distinguish between isothermal and adiabatlc process.

What is meant by coefficient of linear expansion superficial & cubical expansion?

Explain in detail Newton’s law of cooling.

Explain the meaning of heat and work with suitable examples.

Explain Wien’s law and why our eyes are sensitive only to visible rays?
Estimate the mass of air in your class room at NTP. Here NTP implies normal temperature (room temperature) and 1 atmospheric pressure

Give some examples of irreversible processes.

Describe the anomalous expansion of water. How is it helpful in our lives?

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