A balloon contains 5470cm3 of gas and has a mass of 10.24g. The mass of the empty balloon is2.42g. What is the density of the gas.
density is the mass of substance per unit volume of a substance. to solve the problem, first calculate the mass of the gas.
mass gas = ( mass of balloon with gas ) - ( mass of balloon )
mass gas = 10.24 g - 2.42 g
mass gas = 7.82 g
so the density
density = m / v = 7.82 g / 5470 cm3
density = 0.00145 g / cm3
Answer: The density of gas is \(1.43\times 10^{-3}g/cm^3\)
Explanation:
We are given:
Mass of empty balloon, \(m_1\) = 2.42 g
Mass of balloon with gas, \(m_2\) = 10.24 g
Mass of gas = \(m_2-m_1=10.24-2.42=7.82g\)
To calculate density of a substance, we use the equation:
\(\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}\)
We are given:
Mass of gas = 7.82 g
Volume of gas = \(5470cm^3\)
Putting values in above equation, we get:
\(\text{Density of gas}=\frac{7.82g}{5470cm^3}\\\\\text{Density of gas}=1.43\times 10^{-3}g/cm^3\)
Hence, the density of gas is \(1.43\times 10^{-3}g/cm^3\)