Question

The volume v of a fixed amount of a gas varles directly as the temperature t and inversely as the pressure p. suppose that v= 160 cm when t= 320 kelvin and p= 12cm³• fnd the temperature when v=90 cm' and p= 16 - cm?

Answer 1

According to Charles's law, the volume of an ideal gas varies directly with its temperature at constant pressure. We can use this relationship to find the temperature when given a volume and pressure. Hence, temperature is 180 Kelvin.

Step-by-step explanation:

According to Charles's law, the volume (V) of an ideal gas varies directly with the temperature (T) when the pressure (P) and the number of moles (n) of the gas are constant. Mathematically, this can be expressed as:

V ∝ T

Given that v = 160 cm when t = 320 Kelvin and p = 12 cm³, we can use these values to find the constant of variation:

160 = k * 320

k = 160/320 = 0.5

Now, to find the temperature (T) when v = 90 cm and p = 16 cm³, we can rearrange the equation:

V = k * T

90 = 0.5 * T

T = 90/0.5 = 180 Kelvin