Question

A compact car gets $20$ miles per litre on the highway. Gasoline contains $84.0\%$ carbon by mass and has a density of $0.80gm{l}^{-1}$. The mass of $C{O}_2$ produced (in $g$) during a $50$ mile-trip is:

• A. 6160

Answer 1

The correct option is A 6160
Gasoline contains $84.0\%C$ by mass (with density $0.80gm{l}^{-1}$)
For $20miles$ $\to$ $1L$ of gasoline is required
For $50miles$ $\to$ $xL$ of gasoline is required
⇒ $x=\frac{20}{50}$ = $\frac{2}{5}=2.5L$
For $50$ molar we need $2.5L$ gaseous Gasoline which has $84.0\%$ of carbon by mass
⇒ $84g$ carbon in $100g$ gasoline with density = $0.80gm{l}^{-1}$
∴ mass of gasoline
D = $\frac{mass}{volume}$
⇒ $0.80=\frac{massofgasoline}{2.5\times 103}$​
mass of gasoline = $0.80\times 2.5\times 103=2000g$
$100g$ gasoline contains 8$4g$ Carbon
$2000g$ contains $yg$ Carbon
$y=84\times \frac{2000}{100}=1680g$
$C$ + $O_2$ → $C{O}_2$
​$12gC$ $44gC{O}_2$
​1680 gm Carbon will form $x$ g of $C{O}_2$
∴$x=16.80\times \frac{44}{12}=6160g$ of $C{O}_2$ is formed