A student monitors the rate of the decomposition of hydrogen peroxide:
2H2O2(aq)→2H2O(l)+O2(g) 2\text{H}_2\text{O}_2(\text{aq}) \rightarrow 2\text{H}_2\text{O}(\text{l}) + \text{O}_2(\text{g}) 2H2O2(aq)→2H2O(l)+O2(g)by measuring the volume of oxygen gas, VVV (in cm3\text{cm}^3cm3), collected in a gas syringe at regular time intervals.
The reaction is carried out at a constant temperature TTT (in K\text{K}K) and pressure PPP (in kPa\text{kPa}kPa). Let:
Which of the following expressions correctly gives the concentration of hydrogen peroxide remaining, [H2O2]t[\text{H}_2\text{O}_2]_t[H2O2]t (in mol dm−3\text{mol dm}^{-3}mol dm−3), at time ttt?
[H2O2]t=[H2O2]0−10−3PVVsolRT[\text{H}_2\text{O}_2]_t = [\text{H}_2\text{O}_2]_0 - \frac{10^{-3} P V}{V_{\text{sol}} R T}[H2O2]t=[H2O2]0−VsolRT10−3PV
[H2O2]t=[H2O2]0−2×10−6PVVsolRT[\text{H}_2\text{O}_2]_t = [\text{H}_2\text{O}_2]_0 - \frac{2 \times 10^{-6} P V}{V_{\text{sol}} R T}[H2O2]t=[H2O2]0−VsolRT2×10−6PV
[H2O2]t=[H2O2]0−2×10−3PVVsolRT[\text{H}_2\text{O}_2]_t = [\text{H}_2\text{O}_2]_0 - \frac{2 \times 10^{-3} P V}{V_{\text{sol}} R T}[H2O2]t=[H2O2]0−VsolRT2×10−3PV
[H2O2]t=[H2O2]0+2×10−3PVVsolRT[\text{H}_2\text{O}_2]_t = [\text{H}_2\text{O}_2]_0 + \frac{2 \times 10^{-3} P V}{V_{\text{sol}} R T}[H2O2]t=[H2O2]0+VsolRT2×10−3PV