Final answer:
To calculate the pressure of hydrogen gas stored in a car's tank, we use the Ideal Gas Law formula PV = nRT, where 'P' is the pressure we need to find, 'V' is the volume of the tank, 'n' is the number of moles of hydrogen, 'R' is the ideal gas constant, and 'T' is the temperature in Kelvin.
Step-by-step explanation:
To calculate the pressure of hydrogen gas in a given volume at a certain temperature, we use the Ideal Gas Law, which is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin.
In this case, the temperature (27°C) must first be converted to Kelvin by adding 273.15, giving us 300.15 K. The pressure P can be calculated as follows: P = (nRT)/V. With our values, we have the number of moles as 2520, R as 0.083145 L bar K⁻¹ mol⁻¹ (which is the value of R when pressure is in bar), V is 180 L, and T is 300.15 K.
Plugging in the numbers, we get P = (2520 moles × 0.083145 L bar K⁻¹ mol⁻¹ × 300.15 K) / 180 L. After calculating, you'll arrive at the pressure of hydrogen gas in bar.