Answer:
760 mmHg at 15.0 °C
Step-by-step explanation:
To solve this problem, we can use the ideal gas law, which relates the pressure (P), volume (V), number of moles (n), and temperature (T) of a gas:
where R is the universal gas constant.
We can rearrange this equation to solve for the pressure (P):
where n, R, V, and T are given in the problem as:
- n = 1.13 mol
- R = 0.0821 L·atm/(mol·K) (the value of R in the appropriate units)
- V = 23.6 L
- T = (15.0 + 273.15) K = 288.15 K (converted to Kelvin)
Substituting these values into the equation gives:
- P = (1.13 mol)(0.0821 L·atm/(mol·K))(288.15 K)/(23.6 L)
- P = 1.00 atm
To convert this pressure to mmHg, we can use the conversion factor:
Multiplying the pressure by this conversion factor gives:
- P = 1.00 atm x (760 mmHg/1 atm)
- P = 760 mmHg
Therefore, the pressure of the argon gas sample is 760 mmHg at 15.0 °C.