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Category: Heat and Theromdynamics

the-molar-heat-capacity-of-constant-pressure-of-a-gas-varies-with-the-temperature-according-to-the-equation-n-c-p-a-b-c-2-where-a-b-and-c-are-constant-how-much-heat-transfered-during

Question Number 58361 by Mohammad umar last updated on 22/Apr/19 $${the}\:{molar}\:{heat}\:{capacity}\:{of}\:{constant} \\ $$$${pressure}\:{of}\:{a}\:{gas}\:{varies}\:{with}\:{the} \\ $$$${temperature}\:{according}\:{to}\:{the}\:{equation} \\ $$$${n}\:{c}_{{p}={a}+{b}\theta−{c}/\theta^{\mathrm{2}\:\:\:\:\:\:\underset{} {\:}} } \\ $$$${where}\:{a}.{b}\:{and}\:{c}\:{are}\:{constant}\:{how}\:{much}\:{heat}\:{transfered}\:{during}\:{an}\:{isobaric}\:{process}\:{in}\:{which}\:{n}\:{makes}\:{of}\:{gas}\:{undergo}\:{a}\:{temperature}\:{rise}\:{from}\:\theta_{{i}} \:\:{to}\:\theta_{{f}} \:? \\ $$$$\left({b}\right){the}\:{molar}\:{heat}\:{capacity}\:{of}\:{a}\:{metal}\:{at}\:{low}\:{temperature}\:{varies}\:{with}\:{the}\:{temperature}\:{according}\:{to}\:{the}\:{equation}\:{c}={b}\theta+\frac{{a}}{{h}}\theta^{\mathrm{3}}…

A-small-body-with-temperature-and-absorbtivity-is-placed-in-a-large-evaluated-capacity-whose-interior-walls-are-at-a-temperature-w-when-w-is-small-show-that-the-rate-of-heat-tra

Question Number 58286 by Umar last updated on 21/Apr/19 $$\mathrm{A}\:\mathrm{small}\:\mathrm{body}\:\mathrm{with}\:\mathrm{temperature}\:\theta\:\mathrm{and} \\ $$$$\mathrm{absorbtivity}\:\tau\:\mathrm{is}\:\mathrm{placed}\:\mathrm{in}\:\mathrm{a}\:\mathrm{large}\: \\ $$$$\mathrm{evaluated}\:\mathrm{capacity}\:\mathrm{whose}\:\mathrm{interior}\: \\ $$$$\mathrm{walls}\:\mathrm{are}\:\mathrm{at}\:\mathrm{a}\:\mathrm{temperature}\:\theta_{\mathrm{w}} . \\ $$$$\mathrm{when}\:\:\:\:\theta_{\mathrm{w}} −\theta\:\:\:\:\mathrm{is}\:\:\mathrm{small},\:\mathrm{show}\:\mathrm{that}\:\mathrm{the} \\ $$$$\mathrm{rate}\:\mathrm{of}\:\mathrm{heat}\:\mathrm{transfer}\:\mathrm{by}\:\mathrm{radiation}\:\mathrm{is} \\ $$$$\:\:\:\:\:\overset{\bullet} {\mathrm{Q}}=\:\mathrm{4}\theta_{\mathrm{w}}…

The-molar-heat-capacity-of-a-metal-at-low-temperature-varies-with-the-temperature-according-to-the-equation-C-b-a-H-3-where-a-b-and-H-are-constant-How-much-heat-per-mole-is-transfe

Question Number 58216 by Umar last updated on 20/Apr/19 $$\mathrm{The}\:\mathrm{molar}\:\mathrm{heat}\:\mathrm{capacity}\:\mathrm{of}\:\mathrm{a}\:\mathrm{metal}\:\:\mathrm{at} \\ $$$$\mathrm{low}\:\mathrm{temperature}\:\mathrm{varies}\:\mathrm{with}\:\mathrm{the}\: \\ $$$$\mathrm{temperature}\:\mathrm{according}\:\mathrm{to}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:\:\:\:\:\:\:\mathrm{C}\:=\:\mathrm{b}\theta\:+\:\frac{\mathrm{a}}{\mathrm{H}}\theta^{\mathrm{3}} \\ $$$$\mathrm{where}\:\mathrm{a},\:\mathrm{b}\:\mathrm{and}\:\mathrm{H}\:\mathrm{are}\:\mathrm{constant}. \\ $$$$\mathrm{How}\:\mathrm{much}\:\mathrm{heat}\:\mathrm{per}\:\mathrm{mole}\:\mathrm{is}\:\mathrm{transfered} \\ $$$$\mathrm{during}\:\mathrm{the}\:\mathrm{process}\:\mathrm{in}\:\mathrm{which}\:\mathrm{the}\: \\ $$$$\mathrm{temperature}\:\mathrm{change}\:\mathrm{from}\:\mathrm{0}.\mathrm{01H}\: \\…