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With what minimum pressure (in \( \mathrm{kPa} \) ), a
P given volume of an ideal gas \( \left(\mathrm{C}_{\mathrm{p}, \mathrm{m}}=7 / 2 \mathrm{R}\right) \),

W originally at \( 400 \mathrm{~K} \) and \( 100 \mathrm{kPa} \) pressure can be compressed irreversibly adiabatically in order to raise its temperature to \( 600 \mathrm{~K} \)
(1) \( 362.5 \mathrm{kPa} \)
(2) \( 275 \mathrm{kPa} \)
(3) \( 437.5 \mathrm{kPa} \)
(4) \( 550 \mathrm{kPa} \)
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