You park your car in the sun with the windows rolled up, and the interior temperature rises

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You park your car in the sun with the windows rolled up, and the interior temperature rises from \(35^{\circ} \mathrm{C}\) at \(100 \mathrm{kPa}\) to \(48^{\circ} \mathrm{C}\). The interior volume of your car is roughly \(1.5 \mathrm{~m} \times 2. 0 \mathrm{~m} \times 1. 0 \mathrm{~m}\).

(a) What is the mass of the air in the car, assuming a mass density of \(1.13 \mathrm{~kg} / \mathrm{m}^{3}\) for air at \(35^{\circ} \mathrm{C}\) ?

(b) How much energy was delivered from the Sun to the interior to raise the temperature as indicated if all the energy went into the air? Use \(720 \mathrm{~J} / \mathrm{K} \cdot \mathrm{kg}\) for the specific heat capacity of air.

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