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e

explanation:

The  amount  of  energy  needed  to  raise  the temperature  of  2.0  g of  water 5.0 c  is  calculated  using the below formula

Q=MC  delta T  where
Q= heat   energy
m=mass(2.0g)
C=  specific  heat capacity  of  water ( 4.18 j/g/c)
 delta T = change in  temperature ( 5.0  c)

Q= 2g x4.18j/g/c  x  5 c=  42 j (answer D)  is needed  to  raise  temperature  of 2.o grams water  5.0 c