CAIE A-Level Physics A2 16.1.2 Relate a Rise in Temperature of an Object to an Increase in Its Internal

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A cylinder contains 5.12 mol of an ideal gas at pressure $5.60 \times 10^{5} \mathrm{~Pa}$ and volume $3.80 \times 10^{-2} \mathrm{~m}^{3}$ .

The average kinetic energy $E_{\mathrm{K}}$ of a molecule of the gas is given by the expression

E_{\mathrm{K}}=\frac{3}{2} k T

where k is the Boltzmann constant and T is the thermodynamic temperature.
The gas is heated at constant pressure so that its temperature rises by 125 K .

Calculate the increase in internal energy of the gas. Explain your working.

(for ideal gas,) change in internal energy is change in (total) kinetic energy (of molecules)
$\Delta U=(3 / 2) \times 1.38 \times 10^{-23} \times 125 \times 5.12 \times 6.02 \times 10^{23}$ $\Delta U=7980 \mathrm{~J}$

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CAIE A-Level Physics A2 16.1.2 Relate a Rise in Temperature of an Object to an Increase in Its Internal Topic Practice

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