তাপীয় সূত্র

A student wants to cool 250g of diet 7-up initially at 27 degree celcious by adding ice initially at -18 degree C. How much ice should he add so that the final temperature will be 0 degree C with all the ice melted?

[Assume that the container is not taking any heat and specific heat of 7 up 4186 J/K.degree Celcious.specific heat of ice =2000 J/K degree Celcious and the latent heat of ice =3.34*105]

IUT 19-20

Solution: (d); Qice=miSiΔθi+milf=mi(2000×18+3.34×105) Q_{i c e}=m_{i} S_{i} \Delta \theta_{i}+m_{i} l_{f}=m_{i}\left(2000 \times 18+3.34 \times 10^{5}\right)

Q7 up =(2501000×4186×27)mi=Q7upQice =0.0764 kg=76.4 g Q_{7 \text { up }}=\left(\frac{250}{1000} \times 4186 \times 27\right) \therefore m_{i}=\frac{Q_{7 u p}}{Q_{\text {ice }}}=0.0764 \mathrm{~kg}=76.4 \mathrm{~g}

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