Calculate the volume produce of hydrogen in water displaceme

In summary, using the given data of 0.0125g of hydrogen gas produced at 23.0°C and 99.99kNm^-2, and the pressure of water vapour at the same temperature of 2.81kNm^-2, the volume of hydrogen gas collected is 158.35mL. However, there may be a typo in the given answer and the actual volume may be 157mL due to more accurate molar mass.
  • #1
WeiLoong
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0
Please post this type of questions in HW section using the template.
0.0125g of hydrogen gas produced was collected using water displacement method at 23.0°C and 99.99kNm^-2. If the pressure of water vapour at the same temperature is 2.81kNm^-2, calculate the volume of hydrogen gas collected

My calculation : PV = nRT
n = No. of moles of H2 = 0.0125/2 = 6.25 x 10^-3 mole
P = 99.99 -2.81 = 97.18 KN/m^2
T = 23degC = 296.15K
R = 8.314J/molK
V = nRT/P = (6.25 x 10^-3 x 8.314 x 296.15)/97180 = 1.5835 x 10^-4 m^3 = 158.35mL

but the answer given is 0.583L any mistakes did i make?
 
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  • #2
Your answer looks OK to me*. My bet is there is a typo in the answer given - note how 583 digits appear both in both the correct and the given answer.

*Actually it doesn't - if all the data is given with no less than 3 significant digits, molar mass of hydrogen should be accurate as well, not just 2 g/mol, but 2.02 g/mol (or even 2.016 g/mol to avoid rounding errors). That means the volume of 157 mL.
 

Related to Calculate the volume produce of hydrogen in water displaceme

1. What is the purpose of calculating the volume of hydrogen in water displacement?

The purpose of calculating the volume of hydrogen in water displacement is to determine the amount of hydrogen gas that is produced when a metal reacts with an acid. This can be useful in various scientific experiments and processes, such as determining the reactivity of different metals or measuring the efficiency of a chemical reaction.

2. How is the volume of hydrogen calculated in water displacement?

The volume of hydrogen in water displacement is calculated by subtracting the initial volume of water in the measuring cylinder from the final volume of water after the reaction has occurred. The difference in these two volumes represents the volume of hydrogen gas that has been produced.

3. What factors can affect the volume of hydrogen produced in water displacement?

The volume of hydrogen produced in water displacement can be affected by various factors such as the type and amount of acid used, the type and amount of metal used, the temperature and pressure of the reaction, and the surface area of the metal. Additionally, any impurities in the reactants or experimental errors can also affect the volume of hydrogen produced.

4. Can the volume of hydrogen produced in water displacement be used to determine the mass of the metal?

Yes, the volume of hydrogen produced in water displacement can be used to determine the mass of the metal. This can be done by using the ideal gas law, which relates the volume of a gas to its pressure, temperature, and number of moles. By measuring the volume of hydrogen and knowing the other variables, the mass of the metal can be calculated.

5. What are some practical applications of calculating the volume of hydrogen in water displacement?

One practical application of calculating the volume of hydrogen in water displacement is in the field of alternative energy. Hydrogen gas can be used as a clean and sustainable source of energy, and by accurately calculating its volume in different reactions, scientists can determine the most efficient and cost-effective methods for producing and utilizing hydrogen gas. Additionally, this calculation can also be useful in industries such as metal processing and chemical manufacturing.

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