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balandron [24]
3 years ago
14

When 1.98g of a hydrocarbon is burned in a bomb calorimeter, the temperature increases by 2.06∘C. If the heat capacity of the ca

lorimeter is 69.6 J∘C and it is submerged in 944mL of water, how much heat (in kJ) was produced by the hydrocarbon combustion?
Chemistry
1 answer:
schepotkina [342]3 years ago
7 0

Answer:

8.3 kJ

Explanation:

In this problem we have to consider that both water and the calorimeter absorb the heat of combustion, so we will calculate them:

q for water:

q H₂O = m x c x ΔT where m: mass of water = 944 mL x 1 g/mL = 944 g

                                      c: specific heat of water = 4.186 J/gºC

                                     ΔT : change in temperature = 2.06 ºC

so solving for q :

q H₂O = 944 g x 4.186 J/gºC x 2.06 ºC = 8,140 J

For calorimeter

q calorimeter  = C x  ΔT  where C: heat capacity of calorimeter = 69.6 ºC

                                     ΔT : change in temperature = 2.06 ºC

q calorimeter = 69.60J x 2.06 ºC = 143.4 J

Total heat released = 8,140 J +  143.4 J = 8,2836 J

Converting into kilojoules by dividing by 1000 we will have answered the question:

8,2836 J x 1 kJ/J = 8.3 kJ

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The question displayed below shows the missing information which therefore completes the question.

An organic compound contains C, H, N and O. Combustion of 0.1023 g of the compound in excess oxygen yielded 0.2587 g of CO2 and 0.0861 g of H2O. A sample of 0.4831 g of the compound was analyzed for nitrogen by the Dumas method. The compound is first reacted by passage over hot: The product gas is then passed through a concentrated solution of to remove the. After passage through the solution, the gas contains and is saturated with water vapor. At STP, 38.9 mL of dry N2 was obtained. In a third experiment, the density of the compound as a gas was found to be 2.86 g/L at 127°C and 256 torr. What are the empirical and molecular formulas of the compound? (Enter the elements in the order: C, H, N, O.)

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the empirical formula = \mathbf {C_3H_6O_{12}N}

the molecular formula = \mathbf {C_3H_6O_{12}N}

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From the given information:

\bigg ( 0.2587 \ g \ of CO_2 \bigg) \times \dfrac{1 \ mol \ of CO_2}{44 \ of \ CO_2} \times \dfrac{1 \ mol \ of \  C}{1 \ mol \ of CO_2}

= 0.00588 \ mol \ of \ C \times \dfrac{12.01 \ g \ of \ C}{1 \ mol \ of \ C }

= 0.0706g of C

\bigg ( 0.0861\ g \ of H_2O \bigg) \times \dfrac{1 \ mol \ of H_2O}{18.02 \ g  \ of \ H_2O} \times \dfrac{2 \ mol \ of \  H}{1 \ mol \ of H_2O}

=0.0096 \ mol \times \dfrac{1.008 \ g \ of \ H}{1 mol \ H}

0.0097g of H

Given that N2 at STP = 1 atm, 273 K and V = 0.0389 L

PV = nRT

n = PV/RT

n = \dfrac{1 \ atm \times 0.0389 \ of \ H_2}{0.0821 \ L.atm /mol.K \times 273 \ K }

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The oxygen in the sample = The total grams in sample -  gram in H - gram in C

The oxygen in the sample = 0.1023 g - 0.0097 g - 0.706 g

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The number of  moles of O_2 = \dfrac{0.02}{16}

= 0.001375 mol of O

O \ in \ product = (0.00588 \ mol \ of \ C ) \times \dfrac{2 \ mol \ of \ O }{1 \ mol \ of \ C }+ \bigg ( 0.0096 \ mol \ of \ H ) \times \dfrac{1 \ mol \ of  \ O }{1 \ mol \ of \ H}

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we are meant to divide the moles of each compound by the smallest number of  moles; we have:

C = \dfrac{0.00588}{0.00173} \simeq 3

H = 0.0096 = \dfrac{0.0096}{0.00173} \simeq 6

O = 0.0199= \dfrac{0.0199}{0.00173} \simeq 12

N = 0.00173= \dfrac{0.00173}{0.00173} \simeq 1

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To estimate the molecular formula;  we have:

MM = \dfrac{dRT}{P}

MM = \dfrac{2.80 \ g/ L \times 0.0821 \ L.atm /mol.K \times 400 \ K }{0.337 \ atm}

MM = 272.86 g/mol

Also; the molar mass of \mathbf {C_3H_6O_{12}N} = 248 g/mol

∴

= \dfrac{272.86 \ g/mol}{248 \ g/mol}

=1

Thus; we can conclude that empirical formula as well as the molecular formula are the same.

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