A car tyre of volume (0.057 mathrm{~m}^{3}) is inflated to (300 mathrm{kPa}) and (300 mathrm{~K}). After driving

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A car tyre of volume \(0.057 \mathrm{~m}^{3}\) is inflated to \(300 \mathrm{kPa}\) and \(300 \mathrm{~K}\). After driving the car for 10 hours, the pressure in the tyre increases to \(330 \mathrm{kPa}\). Assume air is an ideal gas and \(C_{V}\) for air is \(21 \mathrm{~J} / \mathrm{mol}-\mathrm{K}\). The change in internal energy of air in tyre is

(a) 630

(b) 760

(c) 880

(d) 380

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