A gas cylinder can hold $1 k g$ of hydrogen at room temperature and pressure:
State the law that helped you to arrive at the above result.

Open in App

Solution

Avogadro's law helped you to arrive at the above result. It is volume number of moles relationship and states that at constant temperature and pressure, equal volumes of all gases contain equal number of molecules.
V $\propto$ number of molecules (P and T constant).
A gas cylinder can hold 1 kg of hydrogen at room temperature and pressure:
If the number of molecules of hydrogen in the cylinder is X molecules, then the number of $C O_{2}$ molecules in the cylinder under the same conditions of temperature and pressure.will also be same. It will be X.
From the ideal gas equation $P V = n R T$ , when pressure, volume and temperature are constant, the number of moles of two gases will be same. Hence, the number of molecules of two gases will be same.
Note:
A gas cylinder can hold 1 kg
The mass of hydrogen $= 1 k g \times 1000 g / k g = 1000 g$ .
The molar mass of hydrogen is 2 g/mol.
The number of moles of hydrogen present $= \frac{mass}{molar mass} = \frac{1000 g}{2 g / m o l} = 500 m o l$ .
The number of moles of $C O_{2} =$ the number of moles of $H_{2} = 500$ moles.
The number of molecules of $C O_{2} = 500 m o l e s \times 6.023 \times 10^{23} m o l e c u l e s / m o l e = 3.012 \times 10^{26}$ molecules.

Suggest Corrections

Similar questions

A gas cylinder can hold 1 kg of hydrogen at room temperature and pressure

(a) What mass of carbon dioxide can it held under the similar condition of temperature and pressure?

(b) If the number of molecules of hydrogen in the cylinder is X, calculate the number of carbon dioxide molecules in the cylinder. State the law that helped you to arrive at the above result.

Q. A gas cylinder can hold 1 Kg of hydrogen at mom temperature and pressure:
i) Find the number of moles of hydrogen present
ii) What weight of

C O_{2}

can the cylinder hold under similar conditions of temperature and pressure? (

H = 1, C = 12, O = 16

)
iii) If the number of molecules of hydrogen in the cylinder is

X

, calculate the number of

C O_{2}

molecules in the cylinder under the same conditions of temperature and pressure
iv) State the law that helped you to arrive at the above result.

Q. A gas cylinder can hold

1 k g

of hydrogen at room temperature and pressure:
What weight of

C O_{2}

can the cylinder hold under similar conditions of temperature and pressure?

(H = 1, C = 12, O = 16)

Q. A gas cylinder can hold

1 k g

of hydrogen at room temperature and pressure:
Find the number of moles of hydrogen present.

Q. A gas cylinder can hold

1 k g

of hydrogen at room temperature and pressure:
If the number of molecules of hydrogen in the cylinder is

X

, calculate the number of

C O_{2}

molecules in the cylinder under the same conditions of temperature and pressure.

Join BYJU'S Learning Program

A gas cylinder can hold 1 kg of hydrogen at room temperature and pressure:State the law that helped you to arrive at the above result.

A gas cylinder can hold $1 k g$ of hydrogen at room temperature and pressure:
State the law that helped you to arrive at the above result.