Odpowiedź :
Odpowiedź:
P=1,5kW=1500W
t=3min=180s
T1=20C
T2=50C
cw=4200J/kg*C
Qo=P*t
Qp=cw*m*(t2-t1)
Qo=Qp
P*t=cw*m*(t2-t1)
m=P*t/cw*(t2-t1)
m=1500W*180s/4200J/kgC*(50-20)C
m=2,14kg
[tex]Dane:\\P = 1,5 \ kW = 1 \ 500 \ W = 1 \ 500 \ \frac{J}{s}\\T_1 = 20^{o}C\\T_2 = 50^{o}C\\\Delta T = T_2-T_1 = 50^{o}C - 20^{o}C = 30^{o}C\\t = 3 \ min = 3\cdot60 \ s = 180 \ s\\c = 4200\frac{J}{kg\cdot^{o}C}} \ - \ cieplo \ wlasciwe \ wody\\Szukane:\\m = ?\\\\Rozwiazanie\\\\W = P\cdot t\\oraz\\W = Q = m\cdot c\cdot \Delta T\\\\m\cdot c\cdot \Delta T = P\cdot t \ \ /:(c\cdot \Delta T)\\\\m = \frac{P\cdot t}{c\cdot \Delta T}\\\\m = \frac{1500\frac{J}{s}\cdot180 \ s}{4200\frac{J}{kg\cdot^{o}C}\cdot30^{o}}[/tex]
[tex]\boxed{m = 2,14 \ kg}[/tex]