Calculate Each of The Following Quantities in 1.50 Moles H3po4

This guide explains how to calculate mass, volume, and other quantities for 1.50 moles of phosphoric acid (H3PO4) using fundamental chemistry principles. The calculator on this page performs these calculations quickly and accurately.

Introduction

Phosphoric acid (H3PO4) is a common chemical compound with important industrial and biological applications. When working with chemical quantities, it's often necessary to convert between moles and other units such as grams or liters.

This guide will show you how to calculate:

Mass of H3PO4 in grams
Volume of H3PO4 solution in liters
Number of molecules in the sample

We'll use the molar mass of H3PO4 and Avogadro's number to perform these calculations.

Calculations

1. Calculating Mass from Moles

The mass of a substance can be calculated using the formula:

Mass (g) = Moles × Molar Mass (g/mol)

The molar mass of H3PO4 is 97.995 g/mol. For 1.50 moles:

Mass = 1.50 mol × 97.995 g/mol = 146.9925 g

2. Calculating Volume from Moles

To calculate the volume of a solution, you need to know the concentration (molarity). The formula is:

Volume (L) = Moles / (Molarity × 1000)

For example, if the solution is 1.0 M (1 mole per liter):

Volume = 1.50 mol / (1.0 M × 1000) = 0.0015 L = 1.5 mL

3. Calculating Number of Molecules

The number of molecules can be calculated using Avogadro's number (6.022 × 10²³ molecules/mol):

Number of molecules = Moles × Avogadro's number

For 1.50 moles:

Number of molecules = 1.50 × 6.022 × 10²³ ≈ 9.033 × 10²³

Example Calculation

Let's calculate all quantities for 1.50 moles of H3PO4:

Mass: 1.50 mol × 97.995 g/mol = 146.9925 g
Volume (1.0 M solution): 1.50 mol / (1.0 M × 1000) = 0.0015 L (1.5 mL)
Number of molecules: 1.50 × 6.022 × 10²³ ≈ 9.033 × 10²³

These calculations are performed automatically by the calculator on this page.

FAQ

What is the molar mass of H3PO4?: The molar mass of H3PO4 is 97.995 g/mol, calculated as 3 × (1.008 g/mol for hydrogen) + 30.974 g/mol for phosphorus + 4 × 15.999 g/mol for oxygen.
How do I calculate the volume of H3PO4 solution?: You need to know the molarity (moles per liter) of the solution. The formula is Volume (L) = Moles / (Molarity × 1000).
What is Avogadro's number?: Avogadro's number is 6.022 × 10²³, representing the number of particles (atoms, molecules, etc.) in one mole of a substance.
Can I use this calculator for other acids?: This calculator is specifically designed for H3PO4. For other acids, you would need to use their respective molar masses.