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Heat = mass CH3OH x spht CH3OH x delta T 
= (50 g)(2.51 J/g K)(40 K) = 5020 J 

Note that delta T is the same for K as for C.

Answer: The amount of heat required is 6275 J

Explanation:

To calculate the change in temperature, we use the equation:

[tex]q=mc\Delta T[/tex]

where,

q = heat absorbed = ?

m = mass of methanol = 50 g

c = specific heat capacity of methanol = 2.51 J/g.K

[tex]\Delta T=[/tex] = change in temperature = [tex]T_2-T_1=(70-20)^oC=50^oC=50K[/tex]    (change remains the same)

Putting values in above equation, we get:

[tex]q=50g\times 2.51J/g.K\times 50K\\\\q=6275J[/tex]

Hence, the amount of heat required is 6275 J