What is the pressure of `HCl` gas at `- 40^(@)C` if its density is `8.0 kg m^(-3) ? (R = 8.314 J K^(-1) mol^(-1))`

Explanation

To find the pressure of HCl gas at -40°C given its density is 8.0 kg/m³, we can use the ideal gas equation and the relationship between density, mass, and volume. Here’s a step-by-step solution:

### Step 1: Convert the temperature to Kelvin
The temperature in Celsius can be converted to Kelvin using the formula:
\[ T(K) = T(°C) + 273.15 \]
For -40°C:
\[ T = -40 + 273.15 = 233.15 \, K \]

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