\(a)n_K=\dfrac{7,8}{39}=0,2mol\\ 2K+2H_2O\rightarrow2KOH+H_2\\ n_{H_2}=2n_K=0,4mol\\ V_{H_2\left(đktc\right)}=0,4.22,4=8,96l\\ V_{H_2\left(đkc\right)}=0,4.24,79=9,916g\\ b)n_{KOH}=n_K=0,2mol\\ 2KOH+Cu\left(NO_3\right)_2\rightarrow2KNO_3+Cu\left(OH\right)_2\\ n_{Cu\left(OH\right)_2}=\dfrac{1}{2}n_{KOH}=0,1mol\\ m_{\downarrow}=m_{Cu\left(OH\right)_2}=0,1.98=9,8g\\ c)Cu\left(OH\right)_2\xrightarrow[]{t^0}CuO+H_2O\\ n_{CuO}=n_{Cu\left(OH\right)_2}=0,1mol\\ m_{CuO}=0,1.80=8g\)