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makvit [3.9K]
3 years ago
12

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 lit

ers) of the gas increases by 225. Write an equation that represents the volume of the gas in terms of the temperature.
Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0
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.
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