Question

Combining Boyle's law and Charles' law forms one presure-temperature-volume relationship and holds the mass of the gas constant. Which equation represents the relationship of the combined gas law?
A) (P1/T1)=(P2/T2)
B) (P1/n1)=(P2/n2)
C) (P1V1/T1)=(P2V2/T2)
D) P1V1=P2V2

Answer 1

Option C

Explanation:

Boyles law states that pressure is in inverse proportion with volume for a gas. This can be represented by the equation PV=k, where P is the pressure, V is the volume and k is a constant.

Charles law states that volume is in direct proportion with to temperature of the gas. This can be represented by the equation V/T=k, where T stands for temperature, V stands for volume and k represents a constant.

Combining the equations for Charles and Boyles law we get

PV/T = k,   here k represents the constant value.

If we have P1, V1, T1 and P2 V2 and T2 representing the pressure of gas, volume of gas and the temperature of gas in 2 different conditions, then as per the above laws

P1V1/T1 = k and P2V2/T2 = k

Since both are equal to the same constant k, we have  P1V1/T1=P2V2/T2