Two moles of helium gas $\left(\gamma = \frac{5}{3}\right)$ at $27^{\circ} C$ is expanded at constant pressure until its volume is doubled. Then it undergoes an adiabatic change until the temperature returns to its initial value. The work done during the adiabatic process is (universal gas constant $R = 8.3 \ J \ mol^{-1} \ K^{-1}$) (in $J$)
- A$7470$
- B$7070$
- C$4770$
- D$4077$
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$10,000$ small balls,each of mass $1 \, g$,strike a surface of area $1 \, cm^2$ per second with a velocity of $100 \, m/s$ perpendicular to the surface. They rebound with the same velocity. What is the pressure exerted on the surface?
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View SolutionTwo containers $A$ and $B$ contain equal volumes of an identical gas at the same pressure and temperature. The gas in container $A$ is compressed to half its original volume isothermally,while the gas in container $B$ is compressed to half its original volume adiabatically. The ratio of the final pressure of gas in container $B$ to that of gas in container $A$ is
An engineer claims to have made an engine delivering $10 \ kW$ of power with a fuel consumption of $1 \ g/s$. The calorific value of the fuel is $2 \ kcal/g$. Is the claim of the engineer valid?
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View Solution$A$ student records $\Delta Q, \Delta U,$ and $\Delta W$ for a thermodynamic cycle $A \rightarrow B \rightarrow C \rightarrow A$. Certain entries are missing in the table below. Find the correct entry from the following options.
$AB$ $BC$ $CA$ $\Delta W$ $40 \, J$ $30 \, J$ $\Delta U$ $50 \, J$ $\Delta Q$ $150 \, J$ $10 \, J$
| $AB$ | $BC$ | $CA$ | |
|---|---|---|---|
| $\Delta W$ | $40 \, J$ | $30 \, J$ | |
| $\Delta U$ | $50 \, J$ | ||
| $\Delta Q$ | $150 \, J$ | $10 \, J$ |
Difficult
View SolutionOne gram of a liquid is converted to vapour at $3 \times 10^5 \text{ Pa}$ pressure. If $10\%$ of the heat supplied is used for increasing the volume by $1600 \text{ cm}^3$ during this phase change, then the increase in internal energy in the process will be
DifficultMHT CET 2026
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