A 39 liter SCUBA tank contains 310 grams of oxygen gas (O2, molar mass = 32.0 g/mol) at 19°C. Calculate the pressure in kiloPascals (kPa).

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Chemistry

Gallagher

24 July, 21:29

A 39 liter SCUBA tank contains 310 grams of oxygen gas (O2, molar mass = 32.0 g/mol) at 19°C. Calculate the pressure in kiloPascals (kPa).

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Sky · Answer 1

602.95 kPa.

Explanation:

To solve these problems, we can use the general law of ideal gas: PV = nRT.

where, P is the pressure of the gas in atm.

V is the volume of the gas in L (V = 39.0 L).

n is the no. of moles of the gas in mol.

R is the general gas constant (R = 0.082 L. atm/mol. K).

T is the temperature of the gas in K (T = 19.0 °C + 273.15 = 292.15 K).

The volume of the gas = nRT/P.

P = ? atm, V = 39.0 L, R = 0.082 L. atm/mol. K, n = mass/molar mass = (310.0 g) / (32.0 g/mol) = 9.6875 mo, T = 19.0 °C + 273.15 = 292.15 K.

∴ P = nRT/V = (9.6875 mol) (0.082 L. atm/mol. K) (292.15 K) / (39.0 L) = 5.95 atm.

To convert fom atm to kPa:

101.325 kPa = 1.0 atm.

∴ P = 5.95 atm x (101.325 kPa / 1.0 atm) = 602.95 kPa.