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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.

Respuesta :

At [tex]T=0^{\circ}C[/tex], the volume of the gas is V=22 L.

At temperature [tex]T=1C[/tex], the volume of the gas is (22+225) L.

This means that if we increase the temperature by [tex]k[/tex] degrees:
[tex]T=k^{\circ}C[/tex]
the volume of the gas is 
[tex]V=22 + 225 k [L][/tex] (1)

Since T=k, we can rewrite eq.(1) as
[tex]V= 22 + 225 T [L][/tex]
which gives the expression for the volume of the gas in liters, as a function of the temperature T in Celsius.

Answer:

V=2/25T+22

Step-by-step explanation: