(C) At 35 °   C and 700 mm of hg pressure, a gas occupies a 500 ml volume. What will be its pressure when the temperature is 15 ° C and the volume of the gas is 450 ml?

Dear Student,

From Ideal Gas Law,
We know that PV = nRT
So, nR = PV/T

Now, 
P1 = 700 mmHG =700760atm = 0.921 atm, V1= 500 mL = 0.5 L, T1=35+273=308KT2 = 15 + 273=288 K , V2=450 mL = 0.45 LSo, P1V1T1=P2V2T20.921×0.5308=P2×0.45288P2=288×0.921×0.5308×0.45=0.9568 atm = 727 mmHg

Thus, the pressure will be 727 mmHg.

Hope it helps.

Regards

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