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Kryger [21]
3 years ago
9

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.
Chemistry
1 answer:
Nata [24]3 years ago
7 0

Answer:

The new volume of the gas is 9.086 liters.

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:

\frac{T_{1}}{V_{1}} = \frac{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(\frac{T_{2}}{T_{1}}\right)\cdot V_{1}

V_{2} = \left(\frac{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.

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