Question

The pressure of a gas varies directly as the remperature when volume is kept contant and varies inversely as the volume when temperature is kept constant. The gas occupies volume of 400 ml when the temperature is 160 K and the pressure is 640 Pa. What is the temperature of gas whose volume and pressure are 200 ml and 320 Pa, respectively?

Answer 1

Given `P propto T and propto 1/V`
`rArr P propto T/V rArr PV propto T`
` rArr (PV)/T = ` Constant
`rArr (P_(1)V_(1))/T_(1) = (P_(2)V_(2))/T_(2)`
` rArr (640 xx 400)/(160)=(320 xx 200)/T_(2) rArr T_(2) = (160)/4 = 40 K`.