The specific heat of a substance varies with temperature t(oC) asc=0.20+0.14t+0.023t2cal/g/∘CThe heat required to raise the temperature of 2 g of substance from 5oC to 15oC will be

Heat required to raise the temperature of m grams of substance by dT is given as dQ=mcdT⇒Q=∫mcdTTherefore, to raise the temperature of 2 g of substance from 5oc to 15oCQ=∫515 2×0.2+0.14t+0.023t2dT=2×0.2t+0.14t22+0.023t33515=82cal