loren has the samples of elements that are listed below at room temperature. he exposes the samples to the…

loren has the samples of elements that are listed below at room temperature. he exposes the samples to the same heat source until each sample reaches a temperature of 90.0°c. 10 g of al(s) (cp = 0.897 j/(g°c)) 10 g of ag(s) (cp = 0.234 j/(g°c)) 10 g of fe(s) (cp = 0.450 j/(g°c)) 10 g of zn(s) (cp = 0.387 j/(g°c)) from first to last, which lists the order in which these samples will reach 90.0°c? al, fe, zn, ag ag, zn, fe, al al, fe, ag, zn ag, al, zn, fe

loren has the samples of elements that are listed below at room temperature. he exposes the samples to the same heat source until each sample reaches a temperature of 90.0°c. 10 g of al(s) (cp = 0.897 j/(g°c)) 10 g of ag(s) (cp = 0.234 j/(g°c)) 10 g of fe(s) (cp = 0.450 j/(g°c)) 10 g of zn(s) (cp = 0.387 j/(g°c)) from first to last, which lists the order in which these samples will reach 90.0°c? al, fe, zn, ag ag, zn, fe, al al, fe, ag, zn ag, al, zn, fe

Answer

Explanation:

Step1: Recall heat - capacity concept

The lower the specific heat capacity ($C_p$), the less heat is required to raise the temperature of a given mass of the substance. Since the mass of each sample is the same (10 g) and they are exposed to the same heat source, substances with lower $C_p$ values will reach the target temperature ($90.0^{\circ}C$) faster.

Step2: Compare specific - heat capacities

We have $C_{p,Al}=0.897\ J/(g^{\circ}C)$, $C_{p,Ag}=0.234\ J/(g^{\circ}C)$, $C_{p,Fe}=0.450\ J/(g^{\circ}C)$ and $C_{p,Zn}=0.387\ J/(g^{\circ}C)$. Arranging the specific - heat capacities in ascending order: $C_{p,Ag}<C_{p,Zn}<C_{p,Fe}<C_{p,Al}$.

Step3: Determine order of reaching temperature

The order in which the samples will reach $90.0^{\circ}C$ from first to last is the order of increasing specific - heat capacities. So the order is Ag, Zn, Fe, Al.

Answer:

Ag, Zn, Fe, Al