The air in an automobile tire with a volume of (0.015 mathrm{~m}^{3}) is at (30^{circ} mathrm{C}) and

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The air in an automobile tire with a volume of \(0.015 \mathrm{~m}^{3}\) is at \(30^{\circ} \mathrm{C}\) and \(140 \mathrm{kPa}\) (gage). Determine the amount of air that must be added to raise the pressure to the recommended value of \(210 \mathrm{kPa}\) (gage). Assume the atmospheric pressure to be \(100 \mathrm{kPa}\) and the temperature and the volume to remain constant.

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