As per ideal gas equation ,
[tex]C_{3}H_{6}[/tex] Volume = 11.56 L
[tex]CO_{2\\}[/tex] volume = 8.62L
What is Ideal gas equation?
PV = nRT
[tex]C_{3} H_{6}[/tex] gas burns in air according to following equation:
[tex]2C_{3}H_{6}[/tex] + [tex]9O_{2}[/tex] → [tex]6CO_{2}[/tex] + [tex]6H_{2} O[/tex]
Volume of [tex]C_{3} H_{6}[/tex] produced;
Step 1 : Calculate the moles of [tex]H_{2} O[/tex]
PV = nRT
n = PV / RT
n = 0.762 × 34.7 / 0.08206 × 302.55
n = 1.065 mol
Step 2: Calculate the moles of [tex]C_{3} H_{6}[/tex]
1.065 mol [tex]H_{2} O[/tex]× 2 mol [tex]C_{3} H_{6\\}[/tex] / 6 mol [tex]H_{2} O[/tex]
= 0.355 mol
Step 3 : Calculate new volume
V = 0.355 × 0.08206 × 302.55 / 0.762
V = 11.56 L
Volume of [tex]CO_{2}[/tex] produced;
Step 1: Calculate the moles of [tex]O_{2}[/tex]
18.7g [tex]O_{2}[/tex] × 1 mol [tex]O_{2}[/tex] / 32 g [tex]O_{2}[/tex]
= 0.58 mol
Step 2: calculate the moles of [tex]CO_{2}[/tex]
0.58 mol × 6mol [tex]CO_{2}[/tex] / 9 mol [tex]O_{2}[/tex]
= 0.38 mol
Step3: convert mol to litres
0.38 × 22.7L / 1mol [tex]CO_{2}[/tex] [22.7L = 1mol]
= 8.62 L
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