Question

A sample of gas occupies 115.9 mL at -206.6°C. What volume does the sample occupy at 175.9 °C?

Select one:
a. 17.2
b. 782
c. -108
d. -169

Answer 1

Charles law gives the relationship between volume of gas and temperature.
It states that for a fixed amount of gas at constant pressure, volume of gas is directly proportional to the temperature.

`(V)/(T) = k`
where V - volume and T - temperature and k - constant

`(V1)/(T1) = (V2)/(T2)`
where parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation
T1 - temperature in Kelvin , -206.6 °C + 273.15 = 66.55 K
T2 - 175.9 °C + 273.15 = 449.05 K
substituting the values in the equation

`(115.9 mL)/(66.55 K) = (V)/(449.05 K)`
V = 782 mL
the new volume is 782 mL