The amount of heat needed to raise the temperature of $4\, moles$ of a rigid diatomic gas from $0^{\circ} {C}$ to $50^{\circ} {C}$ when no work is done is ......${R}$ ($R$ is the universal gas constant)
A$750$
B$175$
C$500$
D$250$
JEE MAIN 2021, Medium
Download our app for free and get started
C$500$
c $\Delta Q=\Delta U+\Delta W$
Here $\Delta W=0$
$\Delta Q=\Delta {U}={nC}_{v} \Delta {T}$
$\Delta Q=4 \times \frac{5 R}{2}(50)=500 \,{R}$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $\frac{{{C_P}}}{{{C_V}}}$ for the gas is
A Carnot engine whose sink is at $300\, K$ has an efficiency of $40\%.$ By how much should the temperature of source be increased so as to increase its efficiency by $50\%$ of original efficiency ..... $K$
For a thermodynamic process $\delta Q = -50$ $calorie$ and $W = -20$ $calorie$ . If the initial internal energy is $-30$ $calorie$ then final internal energy will be ....... $calorie$
A real gas within a closed chamber at $27^{\circ} \mathrm{C}$ undergoes the cyclic process as shown in figure. The gas obeys $P V^3=\mathrm{RT}$ equation for the path $A$ to $B$. The net work done in the complete cycle is (assuming $R=8 \mathrm{~J} / \mathrm{molK}$ ):
A Carnot engine absorbs an amount $Q$ of heat from a reservoir at an absolute temperature $T$ and rejects heat to a sink at a temperature of $T/3$ . The amount of heat rejected is
Two cylinders contain same amount of ideal monatomic gas. Same amount of heat is given to two cylinders. If temperature rise in cylinder $A$ is $T_0$ then temperature rise in cylinder $B$ will be .........
Let $\eta_{1}$ is the efficiency of an engine at $T _{1}=447^{\circ}\,C$ and $T _{2}=147^{\circ}\,C$ while $\eta_{2}$ is the efficiency at $T _{1}=947^{\circ}\,C$ and $T _{2}=47^{\circ}\,C$. The ratio $\frac{\eta_{1}}{\eta_{2}}$ will be.
A gas is enclosed in a cylinder with a movable frictionless piston. Its initikl thermodynamic state at pressure $P_i=10^5 \mathrm{~Pa}$ and volume $V_i=10^{-3} \mathrm{~m}^3$ chanıes to i final state at $P_f=(1 / 32) \times 10^5 \mathrm{~Pa}$ and $V_f=8 \times 10^{-3} \mathrm{~m}^3$ in an adiabatic quasi-static process, such that $P^3 V^5=$ constant. Consider another thermodynamic process that brings the system from the same initial state to the same final state in two steps: an isobaric expansion at $P$, followed by an isochoric (isovolumetric) process at volume $V_f$. The amount of heat supplied to the system in the two-step process is approximately
If the ratio of specific heat of a gas at constant pressure to that at constant volume is $\gamma $, the change in internal energy of a mass of gas, when the volume changes from $V$ to $2V$ constant pressure $ p$, is