Answer :
Answer:
b) 99 kPa
Explanation:
According to Daltons law of partial pressure, the total pressure of a mixture of two or more non reactive gases is the sum of their individual pressures. Let the total pressure of a mixture of n number of gases be [tex]P_{total}[/tex] and their individual pressure be [tex]P_1,P_2,P_3,\ .\ .\ .\ ,\ P_n[/tex], According to Daltons partial pressure law:
[tex]P_{total}=P_1+P_2+P_3+.\ .\ .+P_n[/tex]
Since A glass cylinder contains 2 gases at a pressure of 106 kPa, therefore n = 2. Also one gas ([tex]P_1[/tex]) is at 7 kPa. Using Daltons partial pressure law:
[tex]P_{total}=P_1+P_2+P_3+.\ .\ .+P_n\\P_{total}=P_1+P_2\\106\ kPa=7\ kPa+P_2\\P_2=106\ kPa-7\ kPa\\P_2=99\ kPa[/tex]
Final answer:
To find the pressure of the second gas in a mixture, we subtract the known pressure of one gas from the total pressure. Given a total pressure of 106 kPa and one gas at 7 kPa, the pressure of the other gas is 99 kPa. The correct option is b.
Explanation:
The question asks to find the pressure attributed to the other gas in a glass cylinder containing 2 gases at a total pressure of 106 kPa, when the pressure of one gas is known to be 7 kPa. The total pressure in a mixture of gases is the sum of the individual pressures of all the gases present, according to Dalton's Law of Partial Pressures. Therefore, to find the pressure of the other gas, we subtract the known pressure of one gas from the total pressure.
Total Pressure = Pressure of Gas 1 + Pressure of Gas 2
Given:
Total Pressure = 106 kPa
Pressure of Gas 1 = 7 kPa
To find Pressure of Gas 2, we rearrange the equation:
Pressure of Gas 2 = Total Pressure - Pressure of Gas 1 = 106 kPa - 7 kPa = 99 kPa
Therefore, the pressure attributed to the other gas in the cylinder is 99 kPa, making option (b) the correct answer.
