Question

The temperature T of a given mass of gas varies inversely with its volume V. The temperature of 90 cm^3 of a certain gas is 25°C. What will the temperature of the gas be when it is compressed to a volume of 20 cm^3?
a. 112.5°C
b. 6°C
c. 54°C
d. 120°C

Answer 1

Answer:

A. 112.5°C

Step-by-step explanation:

Use the inverse variation equation, y = $\frac{k}{x}$

Replace y with T, and replace x with V:

T = $\frac{k}{V}$

Plug in 90 as T and 25 as V, then solve for k:

T = $\frac{k}{V}$

90 = $\frac{k}{25}$

2250 = k

So, the equation is T = $\frac{2250}{V}$

Plug in 20 as V and solve for T:

T = $\frac{2250}{V}$

T = $\frac{2250}{20}$

T = 112.5

So, the temperature will be A. 112.5°C