Question #193633

What is the temperature (in degrees Celsius) of 6.02 mol of hydrogen sulfate gas in a 100 L container at 0.95 atm?

Expert's answer

P = 0.95 atm

V = 100 L

n = 6.02 mol

R = 0.0821 atm L mol^{-1} K^{-1}

T = unknown

**Solution:**

The Ideal Gas equation can be used.

The Ideal Gas equation can be expressed as: PV = nRT

To find the temperature, solve the equation for T:

T = PV / nR

T = (0.95 atm × 100 L) / (6.02 mol × 0.0821 atm L mol^{-1} K^{-1}) = 192.2 K

T (K) = t (°C) + 273.15

Hrnce,

t = T - 273.15 = 192.2 - 273.15 = -80.95°C = -81°C

t = -81°C

**Answer: -81°C**

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