Question

A gas occupies 700 ml at STP find the volume occupied by the gas when its pressure is 400 mm of Hg. and its temperature 15 C

Answer 1

Given:

✭ Volume (V₁)= 700 ml = 0.7L

✭ Temperature(T₁) = 273.15 K

✭ Pressure(P₁) = 1 atm

✭ Pressure(P2) = 400 mm of Hg

✭ Temperature (T2) = 15 C

To Find:

◈ Volume(V₂)?

Solution:

First convert the pressure from 400 mm of Hg to atm

➳ 400mm of Hg = 0.53 atm

Converting the temperature from C to K,

➳ 15C = 288.15 K

By Ideal gas equation,

$\displaystyle\underline{\boxed{\sf \dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2}}}$

• P₁ = 1
• V₁ = 0.7
• T₁ = 273.15
• P₂ = 0.54
• V₂ = ?
• T₂ = 288.15

Substitute the given values,

$\displaystyle\sf\dashrightarrow \dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2}$

$\displaystyle\sf\dashrightarrow \dfrac{1 \times 0.7}{273.15} = \dfrac{0.53 \times V_2}{288.15}$

$\displaystyle\sf\dashrightarrow 2.56 \times 10^{-3} = 1.8 \times 10^{-3} V_2$

$\displaystyle\sf\dashrightarrow V_2 = \dfrac{2.56}{1.8}$

$\displaystyle\sf \dashrightarrow \underline{\boxed{\sf V_2 = 1.4 \ L}}$

$\displaystyle\sf \therefore\:\underline{\sf V_2 \ will \ be \ 1.4 \ L}$

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Answer 2

Answer:

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Explanation:

1403.07

A gas occupies 700 ml at STP find the volume occupied by the gas when its pressure is 400 mm of Hg. and its temperature 15 C