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Solved: Global warming refers to the rise in average global temperature due to the

Chapter 3, Problem 118P

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QUESTION:

Global warming refers to the rise in average global temperature due to the increased concentration of certain gases, called greenhouse gases, in our atmosphere. Earth’s oceans, because of their high heat capacity, absorb heat and therefore act to slow down global warming. How much heat would be required to warm Earth’s oceans by \(1.0\ ^{\circ}\mathrm{C}\)? Assume that the volume of water in Earth’s oceans is \(137\times10^7\mathrm{\ km}^3\) and that the density of seawater is \(1.03\mathrm{\ g}/\mathrm{cm}^3\). Also assume that the heat capacity of seawater is the same as that of water.

Earth’s oceans moderate temperatures by absorbing heat during warm periods.

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QUESTION:

Global warming refers to the rise in average global temperature due to the increased concentration of certain gases, called greenhouse gases, in our atmosphere. Earth’s oceans, because of their high heat capacity, absorb heat and therefore act to slow down global warming. How much heat would be required to warm Earth’s oceans by \(1.0\ ^{\circ}\mathrm{C}\)? Assume that the volume of water in Earth’s oceans is \(137\times10^7\mathrm{\ km}^3\) and that the density of seawater is \(1.03\mathrm{\ g}/\mathrm{cm}^3\). Also assume that the heat capacity of seawater is the same as that of water.

Earth’s oceans moderate temperatures by absorbing heat during warm periods.

ANSWER:

Step 1 of 3

\(Volume\;of\;water\;in\;Earth's\;oceans\;(V) = 137 \times 1{0^7}k{m^3}\)

\(Density\;of\;seawater\;(\rho ) = 1.03\;g/c{m^3}\)

\(Heat\;capacity\;of\;seawater\;is\;the\;same\;as\;that\;of\;water \left( C \right)  =  4.18 J/g^\circ C\)

\(Change in temperature \left( {\Delta T} \right)  =  1.0 ^\circ C\)

The given data required to be applied in heat transfer’s expression \(Q  =  m C \Delta T\) to obtain required value.

Where:

\({Q  =  Heat\;energy}\)

\({m  =  Mass of the substance }\)

\({C  =  Specific heat capacity of the substance }\)

\({\Delta T  =  Change in temperature }\)

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