Heat & Thermodynamics - Physics PYQ (Mechanics)

Match the following.

Expansion during heating

A vessel has 6 g of oxygen at pressure p and temperature 400 K. A small hole is made in it, so that oxygen leaks out. How much oxygen leaks out if the final pressure is p/2 and temperature is 300 K?

Which of the following is not a reversible process?

Which one of the graphs below best illustrates the relationship between internal energy U of an ideal gas and temperature T of the gas in K?

A refrigerator with coefficient of performance 0.25 releases 250 J of heat to a hot reservoir. The work done on the working substance is

In a steady state, the temperature at the end \(A\) and end \(B\) of a \(20 \mathrm{~cm}\) long rod \(A B\) are \(100 \Upsilon\) and \(0^{\circ} \mathrm{C}\). The temperature of a point \(9 \mathrm{~cm}\) from \(A\) is

A gas (\(\gamma\) = 1.5 ) is suddenly compressed to (1/4 )th its initial volume. Then, find the ratio of its final to initial pressure.

If two rods of length \(L\) and \(2 L\), having coefficients of linear expansion \(\alpha\) and \(2 \alpha\) respectively are connected end-to-end, then find the average coefficient of linear expansion of the composite rod.

A balloon contains 1500 m\(^3\) of He at 27\(\Upsilon\)C and 4 atmospheric pressure, the volume of He at \(-3\Upsilon\)C temperature and 2 atmospheric pressure will be

A system is taken from state-A to state-B along two different paths. The heat absorbed and work done by the system along these two paths are Q\(_1\), Q\(_2\) and W\(_1\), W\(_2\) respectively, then

A cylinder has a piston at temperature of \(30 \Upsilon\)C. There is all round clearance of \(0.08 \mathrm{~mm}\) between the piston and cylinder wall if internal diameter of the cylinder is \(15 \mathrm{~cm}\). What is the temperature at which piston will fit into the cylinder exactly?

$$\left(\alpha_p=1.6 \times 10^{-5} / \Upsilon\mathrm{C} \text { and } \alpha_c=1.2 \times 10^{-5} / \Upsilon\mathrm{C}\right)$$

When the temperature of an ideal gas is increased from 27\(^\circ\)C to 127\(^\circ\)C. Calculate the percentage increase in its \(v_{rms}\).

A Carnot engine whose heat sink is at 27\(^\circ\)C has an efficiency of 40%. By how much should its source temperature be changed, so as to increase its efficiency to 60%?

A glass vessel of volume \(V_o\) is completely filled with a liquid and its temperature is raised by \(\Delta T\). What volume of the liquid will flow over, if the coefficient of linear expansion of glass is \(\alpha_g\) and coefficient of volume expansion of the liquid is \(\gamma_l\) ?

A diatomic gas is heated at constant pressure, what fraction of the heat energy is used to increase the internal energy?

An ideal gas is taken from state-1 to state- 2 through optional path \(A, B, C\) and \(D\) as shown in the \(p\) - \(V\) diagram. Let \(Q, W\) and \(U\) represent the heat supplied, work done and change in internal energy respectively, then

Boiling water is changing into steam. The specific heat of boiling water is

If the volume of a block of metal changes by \(0.12 \%\) when heated through \(20^{\circ} \mathrm{C}\), then find its coefficient of linear expansion.

The pressure of a gas is proportional to