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How many moles of gas are there in a 50. 0 l container at 22. 0 °c and 825 torr?

Sagot :

2.2311 moles of gas are there in a 50. 0 l container at 22. 0 °c and 825 torrs.

What is an ideal gas?

An Ideal gas is a hypothetical gas whose molecules occupy negligible space and have no interactions, and which consequently obeys the gas laws exactly.

Assuming the gas is ideal, we can solve this problem by using the following equation:

PV = nRT

Where:

P = 825 torr ⇒ 825 / 760 = 1.08 atm

V = 50 L

n = ?

R = 0.082 atm·L·mol⁻¹·K⁻¹

T = 22 °C ⇒ 22 + 273.16 = 295.16 K

We input the data:

1.08 atm x 50 L = n x 0.082 atm·L·mol⁻¹·K⁻¹ x 295.16 K

And solve for n:

24.20312

n = 2.2311 mol

Hence, 2.2311 moles of gas are there in a 50. 0 L container at 22. 0 °c and 825 torrs.

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