The temperature T of a given mass of gas varies inversely with its volume V. The temperature of 90cm^3of a certain gas is 25°C. What will the temperature of the gas be when it is compressed to a volume of 20cm^3?

Answer 1

To solve this problem, we can use the inverse variation formula:

T1 * V1 = T2 * V2

Where:
T1 = initial temperature
V1 = initial volume
T2 = final temperature
V2 = final volume

Given:
T1 = 25°C
V1 = 90 cm^3
V2 = 20 cm^3 (compressed volume)

Substitute these values into the formula:

25 * 90 = T2 * 20

Solve for T2:

2250 = 20T2
T2 = 112.5°C

Therefore, the temperature of the gas will be 112.5°C when it is compressed to a volume of 20cm^3.