Question

Nitrogen was heated from 17°C to 37°C. The original volume of nitrogen was 8.5 L. Find the new volume in liters assuming P and n remain the same.

Answer 1

The new volume of the gas is 9.086 liters.

Step-by-step explanation:

Let suppose that nitrogen has a behavior of ideal gas, the equation of state for ideal gases is:

`P\cdot V = n \cdot R_(u)\cdot T` (1)

Where:

`P` - Pressure, measured in atmospheres.

`V` - Volumen, measured in liters.

`n` - Molar amount, measured in moles.

`T` - Temperature, measured in Kelvin.

`R_(u)` - Ideal gas constant, measured in atmosphere-liters per mole-Kelvin.

If pressure and molar amount of the gas remain constant, then we construct the following relationship:

`(T_(1))/(V_(1)) = (T_(2))/(V_(2))` (2)

If we know that
`T_(1) = 290.15\,K`,
`P_(1) = 8.5\,L` and
`T_(2) = 310.15\,K`, then the new volume of the gas is:

`V_(2) = \left((T_(2))/(T_(1))\right)\cdot V_(1)`

`V_(2) = \left((310.15\,K)/(290.15\,K) \right)\cdot (8.5\,L)`

`V_(2) = 9.086\,L`

The new volume of the gas is 9.086 liters.