Answer :
Final answer:
The hydrogen tank holds 6.702 kg of hydrogen. This is calculated using the Ideal Gas Law, converting pressure to atmospheres, temperature to Kelvin, and then solving for the number of moles.
Explanation:
To solve this, we can use the Ideal Gas Law which states that PV=nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. First, we need to convert the pressure to atmospheres (1 Torr = 0.00131579 atmospheres) and temperature to Kelvin (K = °C + 273.15).
So, the pressure in atmospheres is 5.25x10^5*0.00131579 = 691.59 atmospheres and the temperature in Kelvin is 25°C + 273.15 = 298.15 K. Substituting these values into the Ideal Gas Law and solving for n, we get n = PV/RT = (691.59*141)/(0.0821 * 298.15) = 3351 moles.
One mole of Hydrogen gas is approximately 2 grams, so the weight of hydrogen in the tank would be 3351 moles * 2 g/mole = 6702 g = 6.702 kg.
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