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Start with a balanced equation.

2C + SiO₂ --> 2CO + Si

The mole ratio between C and CO is 1:1 in the balanced equation. Therefore, 0.75 mol C will produce 0.75 mol CO if reacted completely with SiO₂.

There are two methods for determining the volume of CO produced at STP.

Method 1: Molar Volume

At STP defined as 0 °C (32 °F, 273.15 K) and 1 atm, the volume of 1 mol of a gas (molar volume) is 22.4 L/mol. Use dimensional analysis to calculate the volume of 0.75 mol CO at STP.

0.75 mol CO × 22.4 L/1 mol = 16.8 L = 17 L (rounded to two significant figures)

Method 2: Ideal Gas Law

Use the ideal gas law.

PV = nRT

P = pressure = 1 atm

V = volume = ? L

n = moles = 0.75 mol

R = gas constant = 0.08206 L⋅atm/K⋅mol

T = absolute temperature = 273.15 K

Solve for V.

V = nRT/P

V = (0.75 mol × 0.08206 L⋅atm/K⋅mol × 273.15 K)/(1 atm) = 16.811 L = 17 L (rounded to two significant figures)

Note: In 1982, the International Union of Pure and Applied Chemistry recommended a change of STP to 0° C (32° F, 273.15 K) and 10⁵ Pa (100 kPa). At this definition of STP, the molar volume is 22.7 L/mol, and R is 8314.5 L⋅Pa/K⋅mol (8.3145 L⋅kPa/K⋅mol).

Your instructor should indicate which values to use.

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Meave Gilchrist

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1mo ago

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