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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+bθ−c/θ^(2       _ ) )   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 θ_i   to θ_f  ?  (b)the molar heat capacity of a metal at low temperature varies with the temperature according to the equation c=bθ+(a/h)θ^3   where a and b are constant .how much heat p_(γ  )   make is transfered during a process in which the tempereture change from 0.01(h)to 0.02(h)

$${the}\:{molar}\:{heat}\:{capacity}\:{of}\:{constant} \\ $$$${pressure}\:{of}\:{a}\:{gas}\:{varies}\:{with}\:{the} \\ $$$${temperature}\:{according}\:{to}\:{the}\:{equation} \\ $$$${n}\:{c}_{{p}={a}+{b}\theta−{c}/\theta^{\mathrm{2}\:\:\:\:\:\:\underset{} {\:}} } \\ $$$${where}\:{a}.{b}\:{and}\:{c}\:{are}\:{constant}\:{how}\:{much}\:{heat}\:{transfered}\:{during}\:{an}\:{isobaric}\:{process}\:{in}\:{which}\:{n}\:{makes}\:{of}\:{gas}\:{undergo}\:{a}\:{temperature}\:{rise}\:{from}\:\theta_{{i}} \:\:{to}\:\theta_{{f}} \:? \\ $$$$\left({b}\right){the}\:{molar}\:{heat}\:{capacity}\:{of}\:{a}\:{metal}\:{at}\:{low}\:{temperature}\:{varies}\:{with}\:{the}\:{temperature}\:{according}\:{to}\:{the}\:{equation}\:{c}={b}\theta+\frac{{a}}{{h}}\theta^{\mathrm{3}} \:\:{where}\:{a}\:{and}\:{b}\:{are}\:{constant}\:.{how}\:{much}\:{heat}\:{p}_{\gamma\:\:} \:\:{make}\:{is}\:{transfered}\:{during}\:{a}\:{process}\:{in}\:{which}\:{the}\:{tempereture}\:{change}\:{from}\:\mathrm{0}.\mathrm{01}\left({h}\right){to}\:\mathrm{0}.\mathrm{02}\left({h}\right) \\ $$

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