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ThermodynamicsFRQ

A student is asked to determine what mass of butane, , needs to burn in order to raise the temperatuThermodynamics Chemistry Question

Problem Context

A student is asked to determine what mass of butane, C4H10(g)\text{C}_4\text{H}_{10}(g), needs to burn in order to raise the temperature of a 1650 g1650\text{ g} beaker of sand by 180.C180.^\circ\text{C}. The student is provided with the equipment shown below.

[VISUAL]

a.1 pt

Model Answer

q=mcΔTq = mc\Delta T
q=(1650 g)(0.810 J/(gC))(180.C)=241,000 J=241 kJq = (1650\text{ g})(0.810\text{ J}/(\text{g}\cdot^\circ\text{C}))(180.^\circ\text{C}) = 241,000\text{ J} = 241\text{ kJ}

1 point is earned for the correct calculation of the energy.

b.1 pt

Model Answer

225.26 g218.20 g=7.06 g butane225.26\text{ g} - 218.20\text{ g} = 7.06\text{ g butane}
7.06 g×1 mol58.12 g butane=0.121 mol butane7.06\text{ g} \times \frac{1\text{ mol}}{58.12\text{ g butane}} = 0.121\text{ mol butane}

1 point is earned for the correct calculation of the number of moles with the correct number of significant figures.

c.1 pt

Model Answer

0.121 mol butane×2659 kJ produced1 mol butane=322 kJ0.121\text{ mol butane} \times \frac{2659\text{ kJ produced}}{1\text{ mol butane}} = 322\text{ kJ}

1 point is earned for the correct determination of the amount of heat produced.

d.1 pt

Model Answer

Yes, the answers to parts (a) and (c) support the hypothesis. The amount of heat generated from the combustion of the butane is greater than the amount of heat required to cause the temperature change of the sand, indicating that some of the heat from the combustion of butane was lost.

1 point is earned for a correct choice and a valid explanation.

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