Question

At 0°C, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of the gas increases by 225. Write an equation that represents the volume of the gas in terms of the temperature.

Answer 1

V=2/25T+22

Explanation:

Answer 2

At
`T=0^(\circ)C`, the volume of the gas is V=22 L.

At temperature
`T=1C`, the volume of the gas is (22+225) L.

This means that if we increase the temperature by
`k` degrees:

`T=k^(\circ)C`
the volume of the gas is

`V=22 + 225 k [L]` (1)

Since T=k, we can rewrite eq.(1) as

`V= 22 + 225 T [L]`
which gives the expression for the volume of the gas in liters, as a function of the temperature T in Celsius.