In a room where the temperature is T=109.82K, a football has been inflated to a gauge pressure of P=324kPa. The football is then taken to the field, where the temperature is T=161K. What will the...

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Extracted text: In a room where the temperature is T=109.82K, a football has been inflated to a gauge pressure of P=324kPa. The football is then taken to the field, where the temperature is T=161K. What will the football's gauge pressure be when its temperature becomes equal to the temperature of the air on the field? Assume the air follows the ideal gas law and that the atmospheric pressure that day was P=231.15kPa.