If 60.0 L of oxygen at 13.0°C and an absolute pressure of 2.45 atm are compressed to 53.8 L and at the same time the temperature is raised to 50°C, what will the new pressure be?
Given,
V1 = 60 L ; T1 = 13 Deg C ; P1 = 2.45 atm;
V2 = 53.8 L ; T2 = 50 deg C ; P2 = ?
We need to determine the new pressure.
Considering Oxygen as an ideal gas, and we know that for an ideal gas:
P1V1/T1 = P2V2/T2
P2 = P1 V1 T2 / T1 V2
P2 = 2.45 atm x 60 L x 50 Deg C / 13 Deg C x 53.8 L
P2 = 10.51 atm
Hence, the new pressure = P2 = 10.51 atm.
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