9. what volume will 454 mol of hydrogen occupy at 1.05 atm and 25°c?
9. what volume will 454 mol of hydrogen occupy at 1.05 atm and 25°c?
Answer
Explanation:
Step1: Convert temperature to Kelvin
The formula to convert Celsius to Kelvin is (T(K)=T(^{\circ}C)+273.15). Given (T = 25^{\circ}C), then (T=25 + 273.15=298.15\ K)
Step2: Use the ideal gas law (PV = nRT)
We need to solve for (V), so (V=\frac{nRT}{P}) where (n = 454\ mol), (R=0.0821\ L\cdot atm\cdot K^{-1}\cdot mol^{-1}), (T = 298.15\ K), (P = 1.05\ atm) Substitute the values into the formula: (V=\frac{454\times0.0821\times298.15}{1.05}) First, calculate the numerator: (454\times0.0821\times298.15=(454\times0.0821)\times298.15 = 37.2734\times298.15\approx11111.1) Then, (V=\frac{11111.1}{1.05}\approx10582\ L)
Answer:
(10582\ L)