Question

The volume of a gas varies directly as its temperature measure in degrees Kelvin (K) and inversely as its pressure. When the temperature of a certain gas is 250 K and its pressure is 76.2cm of mercury, its volume is 750 cm^3. To the nearest cubic centimeter, find the volume of this gas when its temperature is 300 K and its pressure is 73.66 cm of mercury.

Answer 1

V - volume
T - temperatyre
P - Pressure

according to the quesiton:
V~T/P

where ~ means proportional.

so we can write :
V = C * (T/P)

where C is some constant of the gas.

now we can use the data to find C and then using this C we can find the Volume.

so first we have: V1 = 750 , T1 = 250 , P = 76.2
plug it into V = C * (T/P) and get : C = 228.6
now in order to find the requested volume we will plug the data :

V = 228.6 * 300/73.66 = 931cm3