当开关S、S0闭合时,电热饮水机处于加热状态。此时R1消耗的电功率为: P1 =P总- P2=920 W- 40W=880 W ··························································· (1分) 则有:R1=U2/P1=(220V)2/880 W=55Ω ················································ (1分) ⑶方法一:电热饮水机处于加热状态时的总电阻为:
R总=U2/P总=(220V)2/920W=1210/23Ω≈ 52.6Ω ······································ (1分)
2实际加热功率:P实=U实/R总
=(198V)2/(1210/23)Ω=745.2W ··································································· (1分) [或P实=U实2/R总=(198V)2/52.6Ω≈745.3 W ]
方法二:电路电阻不变,可得:
R总=U2/P总=U实2/P实 ················································································· (1分) 实际加热功率:P实=P额×U实2 /U2
=920 ×(198/220)2=745.2 W ········································································· (1分) 方法三:实际加热功率:P实=P1实+P2实=U实2/R1+U实2/R2 ···················· (1分) =(198V)2/55Ω+(198V)2/1210Ω
=745.2 W ············································································································· (1分)
28.解:1 m3可燃冰转化生成的甲烷气体完全燃烧放出热量:
Q=q甲烷V =3.6×107J/ m3×164 m3=5.904×109 J ··············································· (1分) 由题知: t=1640min=9.84×104s
由 P=W / t 可得 (1分)
发动机的实际功率:P=Q / t=5.904×109 J/9.84×104s=6.0×104 W ················· (2分) 由题知:36km/h=10m/s
由 v=s/t 可得 ··························································································· (1分) 公交车行驶路程:s=v t=10m/s×9.84×104s=9.84×105 m ································· (1分) 车匀速行驶,有:
F牵=f=0.05 G车=0.05mg=0.05×6000 kg×10N/kg=3×103N ··························· (1分) 由W=Fs可得牵引力做的有用功: ································································· (1分) W有=F牵s=3×103N×9.84×105 m=2.952×109 J ··············································· (1分) 发动机效率:
η=W有 /Q=2.952×109 J/5.904×109J=50% ···················································· (1分)